Answer: 4.6
Step-by-step explanation:
GH is equal to 4.6 since it is congruent to JH. GJ is one line, which makes angles GKH and JKH supplementary angles. Since angle GKH = 90, angle JKH must also equal 90, making these triangles similar. However, if you wish to see it done out mathematically, the following explanation is there:
3.6^2 + HK^2 = 4.6^2
HK^2 = 4.6^2 - 3.6^2
HK^2 = 8.2
HK = 2.86
HK^2 + GK^2 = GH^2
8.2 + 12.96 = GH^2
GH = 4.6
The given lines are perpendicular
Step-by-step explanation:
if Two lines are perpendicular then their slopes are
m
Where m₁ is slope of first line and m₂ is the slope of second line.
Since the lines are in slope-point form the standard form is:
where m is the slope
The slope of first line y= -9/5x + 1/5 is: m₁ = -9/5
The slope of second line y= 5/9x + 2/9 is: m₂= 5/9
So, m i.e
So, The given lines are perpendicular
Keywords: Perpendicular lines, slope
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